Solving incompressible fluid flows on unstructured meshes with the lattice Boltzmann flux solver
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Bibliographic record
Abstract
An application of the recently developed lattice Boltzmann flux solver (LBFS) is proposed to solve incompressible flows using unstructured meshes with high aspect ratio triangular cells. The capability to solve turbulent flows is also introduced by coupling the method with a turbulence model, for which the viscosity transport equation is solved on the same mesh. The proposed computational approach is validated for the classical lid-driven cavity flow, the flow over a circular cylinder, and the turbulent flow around a NACA0012 airfoil. Overall, the results obtained agree well with reference data, and demonstrate the validity of using the LBFS on directionally refined meshes, providing the advantage of limiting the number of vertices required in boundary layer regions of the fluid flow. An alternate flux construction method derived from a lattice Boltzmann boundary condition model based on equilibrium distribution streaming is also presented.
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Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.001 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it